Answer:
i. (5x - 2) + (2x -2) + x = [tex]180^{o}[/tex]
ii. m<J = [tex]113^{o}[/tex]
iii. m<K = [tex]44^{o}[/tex]
iv. m<L = [tex]23^{o}[/tex]
Step-by-step explanation:
Given that: m<J = (5x -2)
m<K = (2x - 2)
m<L = x
But,
the sum of angles in a triangle = [tex]180^{o}[/tex]
So that;
(5x - 2) + (2x -2) + x = [tex]180^{o}[/tex]
5x + 2x + x - 2 - 2 = [tex]180^{o}[/tex]
8x - 4 = [tex]180^{o}[/tex]
8x = [tex]180^{o}[/tex] + 4
8x = 184
x = [tex]23^{o}[/tex]
therefore,
m<J = 5 (23) - 2
= [tex]113^{o}[/tex]
m<K = 2(23) - 2
= [tex]44^{o}[/tex]
m<L = [tex]23^{o}[/tex]
